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12431400 = 2335220719
BaseRepresentation
bin101111011011…
…000000101000
3212101120200020
4233123000220
511140301100
61122240440
7210444102
oct57330050
925346606
1012431400
117020993
1241b6120
132763477
141918572
1511585a0
hexbdb028

12431400 has 48 divisors (see below), whose sum is σ = 38539200. Its totient is φ = 3314880.

The previous prime is 12431399. The next prime is 12431407. The reversal of 12431400 is 413421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12431400.

It is not an unprimeable number, because it can be changed into a prime (12431407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9760 + ... + 10959.

It is an arithmetic number, because the mean of its divisors is an integer number (802900).

Almost surely, 212431400 is an apocalyptic number.

12431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12431400 is an abundant number, since it is smaller than the sum of its proper divisors (26107800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12431400 is a wasteful number, since it uses less digits than its factorization.

12431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20738 (or 20729 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12431400 is about 3525.8190537803. The cubic root of 12431400 is about 231.6541120007.

Adding to 12431400 its reverse (413421), we get a palindrome (12844821).

The spelling of 12431400 in words is "twelve million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20719 41438 62157 82876 103595 124314 165752 207190 248628 310785 414380 497256 517975 621570 828760 1035950 1243140 1553925 2071900 2486280 3107850 4143800 6215700 12431400